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Finding the Fourth Proportional to 3,494.55, 5,241.81 and 897.48

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Solution

The fourth proportional to 3,494.55, 5,241.81 and 897.48 is: 1,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.55 : 5,241.81 = 897.48 : x
  2. Step 2: Convert to fraction form
    3,494.55/5,241.81 = 897.48/x
  3. Step 3: Cross multiply
    3,494.55x = 5,241.81 × 897.48
  4. Step 4: Simplify right side
    3,494.55x = 4,704,419.64
  5. Step 5: Solve for x
    x = 4,704,419.64/3,494.55
  6. Step 6: Final answer
    x = 1,346.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.